SOLUTION: The sum of the digits of a two digit number is 5. When the digits are reversed, the new number is 27 less than the original number. What is the original number?

Question 392434: The sum of the digits of a two digit number is 5. When the digits are reversed, the new number is 27 less than the original number. What is the original number?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of the digits of a two digit number is 5. When the digits are reversed, the new number is 27 less than the original number. What is the original number?
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Let the number be 10t+u.
Equations:
t + u = 5
10u+t = 10t+u-27
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Rearrange:
t = 5-u
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Substitute for "t" and solve for "u":
10u+5-u = 10(5-u)+u-27
9u+5 = -9u+23
18u = 18
---
u = 1
-
Solve for "t":
t = 5-1 = 4
---
Ans: 41
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Cheers,
stan H.
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